Atkin-Lehner |
7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28567d |
Isogeny class |
Conductor |
28567 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-256440484962893 = -1 · 76 · 114 · 533 |
Discriminant |
Eigenvalues |
1 1 -4 7- 11- -1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17568,1180407] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-580:1] |
Generators of the group modulo torsion |
j |
-5096439860329/2179708157 |
j-invariant |
L |
4.6295894484564 |
L(r)(E,1)/r! |
Ω |
0.51803533183639 |
Real period |
R |
1.1171027254176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
583b1 |
Quadratic twists by: -7 |